Education is the most powerful weapon to change the world. - Nelson Mandela. 

Cambridge Prep

Refund within 24 hours of payment until your next meeting or lesson access begins.

Standard

Math

In this year-long course, meeting twice weekly, students will participate in structured lessons and guided practice to master essential 6th-grade math concepts, laying a solid foundation for future academic achievement.

この 1 年間のコースは週 2 回開催され、生徒は体系的なレッスンとガイド付きの練習に参加して 6 年生に不可欠な数学の概念を習得し、将来の学業成績のための強固な基盤を築きます。

Introduction to Factors and Multiples
Define factors and multiples using visual aids and number models
Practice identifying all factor pairs of a given number
Understand the difference between factors and multiples
Use real-life examples (e.g., arranging items in equal groups)


Understanding Factors and Factorization

Factorizing

Prime and Composite Numbers; Intro to Factorization
Learn how to identify and define prime and composite numbers.
Practice using factor trees to factorize numbers
Understand the concept of prime factorization
Begin using exponents to write prime factorization in standard form.

Review factor lists and use Venn diagrams to find the GCF
Practice identifying the GCF for number pairs.
Apply GCF to solve real-world problems involving grouping and dividing items evenly

Finding the Greatest Common Factor (GCF)

GCF and LCM

Use skip counting, listing multiples, and Venn diagrams to find the LCM.
Compare and contrast LCM and GCF.
Apply LCM in real-life scenarios (e.g., scheduling events that repeat)
Practice multi-step word problems involving GCF and LCM.

Finding the Least Common Multiple (LCM)

Adding Fractions with Unlike Denominators
Review equivalent fractions and least common denominators (LCD)
Step-by-step process for adding unlike fractions
Visual models (e.g., fraction bars) to support understanding

Fraction Addition (With unlike denominators, mixed numbers, and whole numbers)

Fraction 

Add mixed numbers using conversion and regrouping strategies
Solve real-world word problems involving fraction addition
Emphasize estimation and checking for reasonableness

Adding Mixed Numbers and Whole Numbers with Fractions

Subtracting Fractions with Unlike Denominators
Review finding the LCD for subtraction
Practice subtracting proper and improper fractions
Use number lines and models for conceptual understanding

Fraction Subtraction
(With unlike denominators, mixed numbers, and whole

Borrowing across whole numbers when subtracting mixed numbers
Solve multi-step word problems involving subtraction
Check solutions for accuracy using inverse operations.

 Subtracting Mixed Numbers and Whole Numbers with Fractions

Multiplying Fractions by Whole Numbers
Understand multiplication as repeated addition
Use area models and number lines to illustrate the concept
Practice solving real-life problems with visuals and equations

Fraction Multiplication

Learn the “straight across” rule for fraction multiplication
Convert mixed numbers to improper fractions before multiplying
Simplify products and interpret results in context

Multiplying Fractions by Fractions & Mixed Numbers

Interpret division using visual models and number stories.
Understand "how many groups?" and "how much in one group?"
Practice using the reciprocal method with real-world applications

Dividing Whole Numbers by Fractions

Use the "Keep-Change-Flip" strategy
Simplify before and after solving.
Apply fraction division to word problems and check for reasonableness

Dividing Fractions by Fractions & Mixed Numbers


Understanding the Relationship Between Fractions and Decimals
Review place value and identify common fractions with decimal equivalents.
Use models (grids and number lines) to visualize conversions.
Practice converting halves, fourths, fifths, and tenths to decimals.

Converting Fractions to Decimals

Convert any fraction to a decimal using long division
Interpret repeating and terminating decimals.
Solve real-world problems involving fractional and decimal conversions.

Converting Fractions to Decimals (Using Division)

Adding Decimals
Align decimals by place value.
Practice addition with tenths, hundredths, and thousandths
Use real-life applications (money, measurements)

Week 8: Decimals – Addition and Subtraction

Decimals 

Subtract with proper alignment and regrouping when necessary
Solve word problems and estimate to check for reasonableness
Review and correct common errors in decimal subtraction

Subtracting Decimals

Multiplying Whole Numbers by Decimals
Use place value understanding and estimation to predict products
Practice decimal placement using visual models and grid paper.
Apply to real-world scenarios like shopping and measurement.

Decimal Multiplication

Multiply as whole numbers, then place the decimal correctly.
Solve multi-step word problems.
Emphasize the importance of estimation for accuracy.

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers.
Use long division with place value understanding.
Apply to real-world contexts (money, recipes, sharing).

Decimal Division

Move the decimal point in both the divisor and dividend.
Practice with clean division and with remainders.
Reinforce understanding through visuals and number sense.

Dividing Decimals by Decimals

Converting Between Decimals, Percents, and Fractions
Understand percentages as "out of 100"
Convert between forms using visual models and place value knowledge
Practice identifying real-world percents (discounts, statistics)

 Decimals, Percentages, and Fractions

Compare values in different forms.
Apply skills to sales tax, tips, and probability problems.
Integrate all three formats in practical multi-step problems.

Solving Problems Using Percentages, Decimals, and Fractions

Understanding Percentages as Parts of 100
Define percent (%) as "per hundred"
Use visual models (grids, bar models) to show percent values
Convert simple fractions and decimals to percentages (e.g., ½ = 50%, 0.25 = 25%)

Introduction to Percentages

Converting Between Fractions, Decimals, and Percent
Practice converting back and forth between the three forms
Use number lines and diagrams for reinforcement
Explore real-life examples (e.g., test scores, battery life, discounts)

Converting Between Fractions, Decimals, and Percent

Solving Real-World Percentage Problems,
Find the percentage of a number (e.g., What is 20% of 50?)
Calculate percentages in everyday contexts: discounts, savings, sports stats.
Use bar models and equations to organize work.

Percentage Word Problems

Solve problems where either the whole or the part is unknown.
Practice setting up equations or models to solve for missing values.
Apply reasoning to check answers and explain solutions.

Finding Total or Part Given a Percentage

Understanding Ratios
Define a ratio as a comparison between two or more quantities
Represent ratios using different formats: “a to b,” “a:b,” and as fractions.
Use real-life examples (e.g., colors in a box of crayons, ingredients in a recipe)
Practice identifying and writing ratios from visual models and word problems.

Introduction to Ratios

Equivalent Ratios and Visual Models
Explore equivalent ratios using multiplication and division
Use tables, tape diagrams, and double number lines to find equivalent ratios
Solve simple problems and check for understanding using visuals and logic
Connect ratios to fractions and real-world applications

Equivalent Ratios and Visual Models

Understanding and Representing Ratios
Define a ratio as a comparison between two quantities
Explore ways to write ratios (using “:” or as fractions)
Use tape diagrams, double number lines, and tables to model ratios
Solve basic ratio word problems (e.g., “There are 2 apples for every 3 oranges…”)

Ratio Word Problems

Solving Multi-Step Ratio Word Problems
Interpret ratio language in real-life contexts (recipes, maps, classrooms, etc.)
Practice scaling up or down using equivalent ratios
Work through multi-step problems involving missing values
Reinforce understanding with partner activities and guided practice

Solving Multi-Step Ratio Word Problems

Introduction to Integers
Understanding Positive and Negative Numbers
Define integers and identify them on a number line.
Explore real-life examples of integers (e.g., temperature, elevation, bank accounts)
Practice comparing and ordering integers using number lines

Introduction to Integers

INTEGERS

Absolute Value and Comparing Integers.
Introduce absolute value as the distance from zero.
Compare integers using inequality symbols.
Solve word problems involving real-life integer comparisons.

Absolute Value and Comparing Integers

Operations with Integers.
Adding and Subtracting Integers.
Use number lines and counters to model integer addition and subtraction.
Apply rules for adding and subtracting positive and negative numbers.
Solve contextual word problems.

Operations with Integers

Multiplying and Dividing Integers.
Introduce rules for multiplying and dividing integers.
Practice solving expressions with multiple steps.
Reinforce with real-world scenarios and games.

Multiplying and Dividing Integers

Understanding Exponents.
Define exponents as repeated multiplication.
Read and write exponential expressions (e.g., 3² = 3 × 3)
Evaluate basic expressions using small exponents.

Introduction to Exponents

EXPONENTS

Base, Exponent, and Power Vocabulary & Application.
Identify the base and exponent in expressions.
Connect exponential form to standard and expanded form.
Practice converting between forms and solving word problems.

Base, Exponent, and Power Vocabulary & Application

Working with Exponents
Lesson 1: Exponents in Real Life and Patterns
Explore how exponents are used in science and technology
Identify patterns in powers of 2, 3, and 10
Create and solve exponent tables

Working with Exponents

Order of Operations with Exponents
Apply exponents in the context of PEMDAS (Order of Operations)
Solve multi-step expressions involving parentheses and exponents.
Review with games, puzzles, and challenge problems.

Order of Operations with Exponents

Define angles and identify types: acute, right, obtuse, straight.
Use a protractor to measure and draw angles.
Explore angles in real-life objects and geometric figures.

Understanding Angles and Angle Types

Geometry – Angles

Angle Relationships and Estimation
Identify complementary and supplementary angles
Estimate angle measures and find unknown angles
Solve problems involving angle relationships and diagrams

Angle Relationships and Estimation

Perimeter of Polygons
Define perimeter and apply formulas for common shapes (squares, rectangles, triangles)
Add side lengths and use patterns to find the perimeter
Solve real-life problems involving fencing and borders

Perimeter of Polygons

Geometry – Perimeter of Shapes

Irregular Shapes and Word Problems
Find the perimeter of irregular polygons
Solve multi-step word problems using diagrams and labeled sides
Practice constructing shapes with a given perimeter

Irregular Shapes and Word Problems

Area of Rectangles and Squares
Review the area as length × width
Apply the formula to solve problems involving rectangles and squares
Create area models using grid paper.

Area of Rectangles and Squares

Geometry – Area of Shapes

Area of Irregular and Composite Shapes
Break down composite shapes into known parts.
Use addition or subtraction to find the total area
Solve real-world problems involving flooring, posters, and blueprints

Area of Irregular and Composite Shapes

Introduction to Surface Area
Define surface area and explore its meaning using nets
Identify faces on 3D shapes (cubes, rectangular prisms)
Calculate surface area using nets and formulas.

Introduction to Surface Area

Geometry – Surface Area

Applying Surface Area in Context
Solve word problems involving wrapping paper, boxes, and packaging
Explore irregular prisms with combined surface areas.
Reinforce with visual models and hands-on activities.

Applying Surface Area in Context

Volume of Rectangular Prisms
Define volume as the amount of space inside a 3D object
Use the formula: Volume = length × width × height
Count unit cubes and solve introductory volume problems.

Volume of Rectangular Prisms

Geometry – Volume

Real-World Applications of Volume
Solve multi-step problems involving packing, containers, and liquid capacity.
Compare volumes of different-shaped objects
Explore how changes in dimensions affect volume.

Real-World Applications of Volume

Introduction to Variables and Simple Equations
Define variables and algebraic expressions
Solve one-step equations using addition and subtraction (e.g., x + 4 = 9)
Use models and number lines to visualize solutions


Introduction to Variables and Simple Equations

Algebra - Solving Equations

Solving Equations with Multiplication and Division
Practice solving one-step equations using multiplication and division (e.g., 5x = 20)
Check solutions by substituting values
Apply equations to real-life problem-solving scenarios.

Solving Equations with Multiplication and Division

Understanding and Identifying Equivalent Expressions.
Use properties of operations (commutative, associative, distributive)
Simplify expressions and identify when two expressions are equivalent.
Use visuals and area models to demonstrate equivalence.

Understanding and Identifying Equivalent Expressions

Algebra – Equivalent Expressions (Part 1)

Writing and Comparing Expressions
Write expressions from word problems
Compare expressions with and without parentheses
Explore how different groupings affect the outcome

Writing and Comparing Expressions

Applying the Distributive Property
Break apart numbers using the distributive property (e.g., 3 × (4 + 2))
Model expressions with arrays and diagrams
Solve and simplify expressions using mental math strategies

Applying the Distributive Property

Practice and Real-World Application
Solve real-world problems using equivalent expressions
Match expressions to models and scenarios
Review key concepts through games, puzzles, or partner activities

Practice and Real-World Application

Introduction to Data Collection and Analysis
Learn how to gather and organize data from surveys or experiments
Understand key statistical terms: data set, range, mode, median, and mean
Practice calculating and interpreting basic statistics from sample data

Introduction to Data Collection and Analysis

Data and Statistics

Interpreting and Comparing Data Sets
Create and analyze frequency tables and line plots
Compare different data sets using statistical measures
Use real-world scenarios (weather, sports, class surveys) for practice

Interpreting and Comparing Data Sets

Line Graphs and Bell Curves
Plot data points and connect them to create line graphs
Interpret trends over time using line graphs
Introduce the bell curve concept and discuss normal distribution in real-life examples

Line Graphs and Bell Curves

Graphs – Line Graphs, Bell Curve, Box Plots

Box Plots (Box-and-Whisker Plots)
Identify quartiles, interquartile range, and median
Construct and interpret box plots
Compare data distributions and identify outliers

Box Plots (Box-and-Whisker Plots)

Pie Charts (Circle Graphs)
Convert data into percentages and degrees
Create and interpret pie charts
Use pie charts to compare parts of a whole in everyday contexts

Pie Charts (Circle Graphs)

Graphs – Pie Charts, Scatter Plots, and Correlation

Scatter Plots and Correlation
Plot data on a coordinate plane
Identify trends and types of correlation (positive, negative, none)
Discuss how scatter plots are used in science, economics, and technology

Scatter Plots and Correlation

 Understanding the Coordinate Plane
Identify the x-axis, y-axis, origin, and quadrants (focus on Quadrant I for 5th grade)
Learn how to plot points using ordered pairs (x, y)
Practice locating and labeling points on a coordinate grid

Understanding the Coordinate Plane

Introduction to the Coordinate Plane

Plotting Points and Simple Shapes
Plot given points and connect them to form shapes (e.g., triangles, rectangles)
Identify patterns and symmetry on the coordinate grid
Solve puzzles and complete simple drawings using coordinates

Plotting Points and Simple Shapes

Distance Between Points & Real-World Applications
Find horizontal and vertical distances between points
Use the coordinate plane to solve real-world problems (e.g., map navigation, games)
Create and solve word problems involving movement on the grid

Applying the Coordinate Plane

Lesson 2: Creating Graphs and Interpreting Data on a Grid.
Plot data sets on a coordinate grid.
Interpret relationships and trends from graphed points.
Review key vocabulary and complete a coordinate plane project or mini-assessment.

Creating Graphs and Interpreting Data on a Grid

6th Grade Math

6年生の算数

In this self-paced course, students will review and practice skills learned in 6th grade math and prepare for skills in 7th grade.

この自分のペースで学べるコースでは、生徒は 6 年生の数学で学んだスキルを復習して練習し、7 年生のスキルに備えます。

6th Grade Math Summer Review 

6年生数学夏期講習 

Big Brain Academy

Master 6th grade math skills in this fun and engaging weekly class, taught by a current certified middle school math teacher.   

現役の中学校数学認定教師が教える、楽しく魅力的な毎週のクラスで、6 年生の数学スキルを習得しましょう。   

6th Grade Math Success

6年生の数学の成功

Nicky Locklear, M.Ed, National Board Cert. Teacher

In this class, students will receive one-on-one specialized support in 6th grade math content. Sessions will be individualized depending on student needs. Students will learn to use different strategies tailored to their learning styles.

このクラスでは、小学6年生の算数の内容について、個別指導による専門的なサポートを受けられます。セッションは生徒のニーズに合わせて個別に調整され、生徒はそれぞれの学習スタイルに合わせた様々な学習戦略を学ぶことができます。

6th Grade Math Boost and Tutoring

6年生の数学のブーストと個別指導

Mariaelena Buresh

In this 9-week course, we will cover all the basic concepts to prepare your now 5th Grader for the excitement and challenges of 6th Grade Mathematics. Each week will focus on different skills with Khan Academy exercises for practice!

この9週間のコースでは、5年生になったお子様が6年生の算数の楽しさと挑戦に備えられるよう、基本的な概念をすべて網羅します。毎週、カーンアカデミーの練習問題を通して、様々なスキルに焦点を当てます。

6th Grade Math Prep Summer Camp

6年生向け数学準備サマーキャンプ

Kaitlyn Croslin

Join us for an exciting 6th-grade math adventure! We'll explore ratios, rational numbers, expressions, equations, and data analysis through engaging lessons and real-world applications. 

6年生の楽しい算数の冒険にご参加ください！魅力的なレッスンと実社会での応用を通して、比率、有理数、式、方程式、データ分析を学びます。 

6th Grade Math Summer Camp

6年生数学サマーキャンプ

Ms. Cassy

In this 30-40 minute class, students will solve math mysteries while learning 6th grade math concepts with Singapore methods. Small groups(5 or less), guided instruction, and help. Topics include decimals, fractions, percentage, area & rate

この30～40分のクラスでは、生徒はシンガポール方式で6年生の数学の概念を学びながら、数学の謎を解きます。小グループ（5人以下）、ガイド付き指導、ヘルプ。トピックには、小数、分数、パーセンテージ、面積、割合が含まれます。

Math Mysteries: 6th Grade Math With Math Mysteries!

数学ミステリー: 数学ミステリー付き 6 年生の数学!

Kim Pinard, M.A. Learning and Instruction

In this 5 week self-paced course, students will review the important topics to get them ready to succeed in 6th grade math. #academic

この 5 週間の自主学習コースでは、生徒は重要なトピックを復習し、6 年生の数学で成功するための準備を整えます。#academic

Getting Ready for 6th Grade Math

6年生の数学の準備

Annie Duque

Prepare for 6th grade math by reviewing major 5th grade math concepts with Wild and Unstructured Learning in this fun and engaging class! Learners will review addition, subtraction, multiplication, and division of fractions and decimals. 


この楽しく魅力的なクラスで、Wild and Unstructured Learning を使って 5 年生の主要な数学の概念を復習し、6 年生の数学の準備をしましょう。学習者は、分数と小数の加算、減算、乗算、除算を復習します。 


Preparing for 6th Grade Math

Wild and Unstructured Learning

In this class, students will learn 6th grade math curriculum concepts in 4 weeks. Best self paced online math class who are going in 6th grade.

このクラスでは、生徒は 4 週間で 6 年生の数学のカリキュラムの概念を学びます。6 年生に最適な、自分のペースで学べるオンライン数学クラスです。

Learn 6th Grade Math in 4 Weeks Summer Camp! 

4週間のサマーキャンプで6年生の数学を学びましょう! 

Learnish

This class is for students to have one on one tutoring in elementary math (3rd to 6th grade), on any math skill needed. Example of skills are; multiplying/adding/subtracting/dividing whole numbers, fractions, decimals, or precents.

このクラスは、小学校の数学（3年生から6年生）で必要なあらゆる数学スキルについて、生徒が1対1で個別指導を受けるためのものです。スキルの例としては、整数、分数、小数、パーセントの乗算、加算、減算、除算などがあります。

6年生の算数

Cambridge Prep

ライブグループコース

78

About

Outschoolで学ぶ

教える

サポート

金融支援

Outschool International

アプリを入手

ホームスクールのリソース

個別指導とレッスン

さらに探索する

年齢別クラス

学年別クラス